(2x-3)=4(x-2)-3x

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Solution for (2x-3)=4(x-2)-3x equation:


Simplifying
(2x + -3) = 4(x + -2) + -3x

Reorder the terms:
(-3 + 2x) = 4(x + -2) + -3x

Remove parenthesis around (-3 + 2x)
-3 + 2x = 4(x + -2) + -3x

Reorder the terms:
-3 + 2x = 4(-2 + x) + -3x
-3 + 2x = (-2 * 4 + x * 4) + -3x
-3 + 2x = (-8 + 4x) + -3x

Combine like terms: 4x + -3x = 1x
-3 + 2x = -8 + 1x

Solving
-3 + 2x = -8 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-3 + 2x + -1x = -8 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-3 + 1x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
-3 + 1x = -8 + 0
-3 + 1x = -8

Add '3' to each side of the equation.
-3 + 3 + 1x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -8 + 3
1x = -8 + 3

Combine like terms: -8 + 3 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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